It is currently 19 Dec 2018, 00:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If (5x^2 + 65x + 60)/(x^2 +10x - 24) = (5x + 5)/(x - 2), the

Author Message
TAGS:
Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 15

Kudos [?]: 49 [0], given: 220

If (5x^2 + 65x + 60)/(x^2 +10x - 24) = (5x + 5)/(x - 2), the [#permalink]  20 Nov 2017, 11:26
00:00

Question Stats:

33% (00:00) correct 66% (01:56) wrong based on 3 sessions
If $$\frac{(5x^2 + 65x + 60)}{(x^2 +10x - 24)} = \frac{(5x + 5)}{(x - 2)}$$, then which of the following are possible values of x?

A. −60
B. −12
C. −1
D. 1
E. 2
F. 5

[Reveal] Spoiler: OA
A, C, D, and F

Kudos for correct solution.
[Reveal] Spoiler: OA
Intern
Joined: 25 Nov 2017
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: If (5x^2 + 65x + 60)/(x^2 +10x - 24) = (5x + 5)/(x - 2), the [#permalink]  28 Nov 2017, 03:26
Need either a closer look or discerning eye to get solution on the fly otherwise its would literally waste much time
Director
Joined: 20 Apr 2016
Posts: 762
Followers: 6

Kudos [?]: 522 [1] , given: 94

Re: If (5x^2 + 65x + 60)/(x^2 +10x - 24) = (5x + 5)/(x - 2), the [#permalink]  29 Nov 2017, 05:46
1
KUDOS
Bunuel wrote:
If $$\frac{(5x^2 + 65x + 60)}{(x^2 +10x - 24)} = \frac{(5x + 5)}{(x - 2)}$$, then which of the following are possible values of x?

A. −60
B. −12
C. −1
D. 1
E. 2
F. 5

[Reveal] Spoiler: OA
A, C, D, and F

Here the equation can be written as-

$$\frac{5(x^2 + 13x + 12)}{(x^2 +10x - 24)} = \frac{5(x + 1)}{(x - 2)}$$

or $$\frac{(x^2 + 13x + 12)}{(x^2 +10x - 24)} = \frac{(x + 1)}{(x - 2)}$$

or $$\frac{(x + 12)(x+1)}{(x + 12)(x-2)} = \frac{(x + 1)}{(x - 2)}$$

or $$\frac{(x+1)}{(x-2)} = \frac{(x + 1)}{(x - 2)}$$.

Now looking at the values we notice only when x=2, the equation is not possible, reset all are the possible values.
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Re: If (5x^2 + 65x + 60)/(x^2 +10x - 24) = (5x + 5)/(x - 2), the   [#permalink] 29 Nov 2017, 05:46
Display posts from previous: Sort by